(Total 10 marks) SECTION B. Instruction: Do ALL Questions Question 1 _ 1 2 The cost of making at articles per day is given by C(x) _ 2x + 50x + 50 and the price 1 function is PU\") = 80- Ex Find: i. The revenue function [2] ii. The prot function [3] iii. The marginal prot function [2] iv. The value of x for which the prot is maximum [3] v. The maximum prot [2] Question 2 Let f(x) = 2x3 -12Jr2 +18}: +20 (i) Find the coordinates of the stationary points [7] (ii) Determine the nature of each stationary point [3] (iii) Find the coordinates of the point of inection [2] (iv) Determine the y intercept [2] (v) Sketch the curve [3] Question 3 Find: 4 3 2 a_ I001: -12x +9x 8x+1)dx [2] J-[8x4 +91\"! -7x} b. x [3] c_ [(2x2-4x+513x+2)dx [3] 1 6 3x-2 2] -+e +9.1:3 dx d. IL 5 [3] END OF SECTION B